Answer:
θ = 
(60° )
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
cos²θ - sin²θ = 2 - 5cosθ
cos²θ - (1 - cos²θ) = 2 - 5cosθ
cos²θ - 1 + cos²θ = 2 - 5cosθ
2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )
2cos²θ + 5cosθ - 3 = 0 ← in standard form
(cosθ + 3)(2cosθ - 1) = 0 ← in factored form
Equate each factor to zero and solve for θ
cosθ + 3 = 0
cosθ = - 3 ← not possible as - 1 ≤ cosθ ≤ 1
2cosθ - 1 = 0
cosθ = 
, so
θ = 
( ) = ( or 60° )
The answer would be y=x+1
this is the answer because the y-intercept is 1. The line goes by 1/1x. 1/1x is equal to 1x. You can take the 1 out and you will get y=x+1
I hope this helps
Answer:
(A)
Step-by-step explanation:
From 9:00 am to 9:00pm, that's a total of 12 hours,
so 12 of the 20 hours are charged at a rate of 0.25 dollar per hour, and the other 8 hours (20-12=8) are charged at a rate of $0.06 per hour.
the answer is b.
it should be 0.06 though, not 0.6
